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Finding the Fourth Proportional to 13,519.68, 18,521.64 and 13,014.29

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Solution

The fourth proportional to 13,519.68, 18,521.64 and 13,014.29 is: 17,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.68 : 18,521.64 = 13,014.29 : x
  2. Step 2: Convert to fraction form
    13,519.68/18,521.64 = 13,014.29/x
  3. Step 3: Cross multiply
    13,519.68x = 18,521.64 × 13,014.29
  4. Step 4: Simplify right side
    13,519.68x = 241,045,994.24
  5. Step 5: Solve for x
    x = 241,045,994.24/13,519.68
  6. Step 6: Final answer
    x = 17,829.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.